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Organization, Business, Risks and Uncertainties: (Details)
$ / shares in Units, item in Millions, $ in Millions
 1 Months Ended 3 Months Ended 12 Months Ended
Jun. 30, 2025
Mar. 31, 2026
$ / shares
Dec. 31, 2025
$ / shares
May 12, 2026
USD ($)
item
Dec. 15, 2025
item
Collaborative Agreements and Commitments:          
Common stock, par value (in dollars per share)   $ 0.0001 $ 0.0001    
Total number of issuance of crypto asset under first halving | item         10.5
Percentage of treasury holdings in TAO   87.30%      
Series D Convertible Preferred Stock          
Collaborative Agreements and Commitments:          
Common stock, par value (in dollars per share)   $ 0.0001      
Convertible preferred stock, par value (in dollars per share)   0.0001 0.0001    
Convertible preferred stock, face value (in dollars per share)   1,000 1,000    
Series E Convertible Preferred Stock          
Collaborative Agreements and Commitments:          
Convertible preferred stock, par value (in dollars per share)   0.0001 0.0001    
Convertible preferred stock, face value (in dollars per share)   $ 1,000 $ 1,000    
Minimum          
Collaborative Agreements and Commitments:          
Term of estimation of cash assets 1 year 6 months        
Excess cash to purchase crypto asset 75.00%        
Maximum          
Collaborative Agreements and Commitments:          
Term of estimation of cash assets 2 years        
Excess cash to purchase crypto asset 100.00%        
Subsequent event          
Collaborative Agreements and Commitments:          
Number of crypto asset units issued. | item       10.9  
Amount of crypto asset. | $       $ 3,380  
Percentage of amount being staked or unstaked       0.05%